中文摘要：

在Bland—Ford-Hill轧制力模型的基础上，考虑冷轧机轧辊在垂直方向上振动位移动态变化影响，建立一种动态轧制力模型。针对该轧制力公式，通过对轧制力和轧辊压扁半径条件进行解耦计算，推导出轧制力的显示计算式。在此基础上进一步考虑轧机机械结构振动影响，建立含有动态轧制力的轧机辊系非线性垂直振动方程。采用谐波平衡法求解出该系统的主共振幅频特性方程。以实际轧机参数进行仿真研究，分析轧机中非线性刚度、阻尼、外扰力等参数变化下的轧机主共振幅频特性，并研究外扰力发生变化时轧机的动态分岔特性。研究发现，随着外扰力的变化，轧机可能会出现周期、倍周期、混沌运动等一系列复杂的运动状态，这为研究抑制轧机振动问题提供有效的理论参考。

英文摘要：

Took the dynamic changes of vibration displacement of cold rolling mill roller in vertical direction into consideration, based on the Bland-Ford-Hill rolling force model, established a dynamic rolling force model. According to this formula of rolling force, through the rolling force and roll flattening radius conditions for decoupling calculation, the explicit calculation expression of rolling force is derived. On this basis, further considered the vibration influence of rolling mill＇s mechanical structure, established the nonlinear vertical vibration equation of roll system contained dynamic rolling force, what＇s more by using harmonic balance method, solved out the primary resonance amplitude-frequency characteristic equation of system. Last but not least, take the actual mill parameter for an example conducted a simulation research, analysed how dose the parameters which including equivalent nonlinear stiffness of a mill system, damping, extraneous force and so on affect primary resonance amplitude-frequency characteristic of rolling mill. And studied on the dynamic bifurcation characteristic of system when there is a change of external disturbance force, found that with the changes of the external disturbance force, the rolling mill will make periodic, period-doubling, chaotic motion and a series of complex movement, provided an effective theory reference for the research of inhibition of rolling mill vibration problem.